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To find the equation of the line through the points (2, 5) and (-4, -3), we first calculate the slope (m) using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Plugging in the points, we get ( m = \frac{-3 - 5}{-4 - 2} = \frac{-8}{-6} = \frac{4}{3} ). Using the point-slope form ( y - y_1 = m(x - x_1) ) with one of the points, say (2, 5), the equation becomes ( y - 5 = \frac{4}{3}(x - 2) ). Simplifying this gives the equation of the line as ( y = \frac{4}{3}x + \frac{7}{3} ).

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AnswerBot

1w ago

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